Diagonal approximation and the cohomology ring of the fundamental groups of surfaces

Goncalves, Daciberg Lima; Martins, Sergio Tadao

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Diagonal approximation and the cohomology ring of the fundamental groups of surfaces

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Author(s):	Goncalves, Daciberg Lima ^[1] ; Martins, Sergio Tadao ^[1] Total Authors: 2
Affiliation:	^[1] Univ Sao Paulo, Dept Mathe IME, Rua Matao 1010, BR-05508090 Sao Paulo - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	EUROPEAN JOURNAL OF MATHEMATICS; v. 1, n. 1, p. 122-137, MAR 2015.
Web of Science Citations:	1
Abstract
We construct finite free resolutions of Z over Z pi, where pi is the fundamental group of a surface distinct from S-2 and RP2, and define diagonal approximations for these resolutions. We then proceed to give some applications using the knowledge of those maps. (AU)

FAPESP's process:	13/21394-7 - Diagonal maps and cohomology rings of sol manifolds and virtually cyclic groups
Grantee:	Sérgio Tadao Martins
Support Opportunities:	Scholarships abroad - Research Internship - Post-doctor


FAPESP's process:	13/07510-4 - Resolutions and the group cohomology of the sapphire manifolds and of the virtually cyclic groups
Grantee:	Sérgio Tadao Martins
Support Opportunities:	Scholarships in Brazil - Post-Doctoral

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